In the number series 2, 9, 4, 11, 6, 13, the next term is _______. – UGC NET Question

The sequence can be split into two sub-series: 2, 4, 6 and 9, 11, 13. The first sub-series 2, 4, 6 increases by 2, and the second sub-series 9, 11, 13 also increases by 2. The next term should continue the first sub-series after 6, giving 8. Therefore, 8 is the correct next term for the combined series.

Option A:
Option A fits because it extends the first subsequence 2, 4, 6 to 8 using the same +2 rule. The combined sequence becomes 2, 9, 4, 11, 6, 13, 8, which keeps both interleaved progressions intact. Hence, this option matches the alternating structure.

Option B:
Option B is 14, which would belong naturally after 13 in the second subsequence. However, in the alternating arrangement, the next position should be filled by the first subsequence. Placing 14 here would disturb the alternation order. Thus, it is not correct.

Option C:
Option C is 15, which neither continues the +2 pattern from 6 nor fits the timing of the second subsequence. It introduces an extra value that does not align with either internal progression. Therefore, 15 cannot be accepted.

Option D:
Option D is 10, which does not belong to the first subsequence 2, 4, 6 when extended by adding 2. It also does not fit the second subsequence at this position. Hence, 10 fails to respect the dual structure and is incorrect.